In a row of students, Deepak is at the 7th position from the left end and…

2013

In a row of students, Deepak is at the 7th position from the left end and Madhu is at the 12th position from the right end. If Deepak and Madhu interchange their positions, Deepak becomes 22nd from the left end. What is the total number of students in the row?

  1. A.

    29

  2. B.

    19

  3. C.

    33

  4. D.

    31

Attempted by 2 students.

Show answer & explanation

Correct answer: C

When Deepak and Madhu interchange their positions, Deepak moves to the seat that Madhu was occupying. Madhu was 12th from the right end, so after the swap Deepak is at that same seat, which is 12th from the right. We are told this seat is 22nd from the left. For any single seat in a row, (position from left) + (position from right) - 1 = total. So total = 22 + 12 - 1 = 33. Note: Deepak's original position (7th from left) is extra data; only the swapped seat (22nd from left = 12th from right) is needed. Total = 33 students.

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